3.3 The following sequence forms a convergent geometric sequence: \( \frac{3}{(x-1)^{2}}+\frac{1}{(x-1)}+\frac{1}{3}+\frac{(x-1)}{9}+\ldots \) 3.3.1 Determine the possible values of x .

What effect does multiplying the function \( f(x) = 3^x \) by -1 have on its graph? Describe any transformations.

Sketch on the same set of axes the graphs of \( f(x)=-2 x^{2}-4 x+6 \) and \( g(x)=-2 \cdot 2^{x-1}+1 \) Clearly indicate all intercepts with the axes, turning point(s) and asymptote(s).

5. \( \forall \alpha \in \mathbb{R} \) için, \( A=-2 \sin \alpha+1 \) olduğuna göre, A nın değer aralığı nedir?

Identify the trace of the surface \( 3 x+2 x^{2}-z^{2}-2 y=5 \) on \( y z \)-plase \( \begin{array}{llll}\text { A. Ellipse } & \text { (B) Circle } & \text { C. Hyperbola } & \text { D. Par }\end{array} \)

I On donne le nombre complexe \( u= \) 1)a) calculer \( u^{2} \) et \( u^{4} \) b) calculer le module et un argument de de \( u \) 2) le plan complexe est muni d'un coordonnées \( (x, y) \) du plan, on associe s Déterminer l'ensemble des points \( M \) du \( u \times z \) est égal à 8 . II) Linéariser \( : A=\sin 3 x \cos ^{2} x ; B=c \)